Why it matters

ECC dominates modern public-key. Understanding shapes crypto.

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The architecture

Elliptic curve group over finite field.

Point multiplication as one-way op.

ECDH + ECDSA + Ed25519 protocols.

ECC building blocksCurve + pointsWeierstrass or EdwardsPoint multone-way opProtocolsECDH + ECDSA + EdDSAP-256 NIST + Curve25519 modern preferred; Ed25519 signatures + X25519 DH
ECC.
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How it works end to end

P-256 / P-384 NIST curves.

Curve25519 / Ed25519 modern.

Point compression.

Constant-time implementation.